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Australian AMC 2020 - Intermediate Question 20

AMC AUSTRALIA · Australian AMC 2020 - Intermediate

Question 20

In the triangle $ABC$ shown, $D$ is the midpoint of $AC$, $E$ is the midpoint of $BD$ and $F$ is the midpoint of $AE$.
If the area of triangle $BEF$ is 5, what is the area of triangle $ABC$?

Question illustration
  1. 30
  2. 35
  3. 40
  4. 45
  5. 50